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An explicit expression for the K functionals of interpolation between L spaces.

Jesús BasteroYves RaynaudM. Luisa Rezola — 1991

Publicacions Matemàtiques

When dealing with interpolation spaces by real methods one is lead to compute (or at least to estimate) the K-functional associated to the couple of interpolation spaces. This concept was first introduced by J. Peetre (see [8], [9]) and some efforts have been done to find explicit expressions of it for the case of Lebesgue spaces. It is well known that for the couple consisting of L1 and L on [0, ∞) K is given by K (t; f, L1, L∞...

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